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Two 5.0 mm × 5.0 mm electrodes are held 0.10 mm apart and are attached to 9.0 V

ID: 1584284 • Letter: T

Question

Two 5.0 mm × 5.0 mm electrodes are held 0.10 mm apart and are attached to 9.0 V battery. Without disconnecting the battery, a 0.10-mm-thicksheet of Mylar is inserted between the electrodes.

A)What is the capacitor's potential difference before the Mylar is inserted?

B)What is the capacitor's electric field before the Mylar is inserted?

E=

C)What is the capacitor's charge before the Mylar is inserted?

Q=

D)What is the capacitor's potential difference after the Mylar is inserted? deltaV=

E)What is the capacitor's electric field after the Mylar is inserted? E=

F)What is the capacitor's charge after the Mylar is inserted? Q=

Two 5.0 mm × 5.0 mm electrodes are held 0.10 mm apart and are attached to 9.0 V battery. Without disconnecting the battery, a 0.10-mm-thicksheet of Mylar is inserted between the electrodes.

A)What is the capacitor's potential difference before the Mylar is inserted?

V =

B)What is the capacitor's electric field before the Mylar is inserted?

E=

C)What is the capacitor's charge before the Mylar is inserted?

Q=

D)What is the capacitor's potential difference after the Mylar is inserted? deltaV=

E)What is the capacitor's electric field after the Mylar is inserted? E=

F)What is the capacitor's charge after the Mylar is inserted? Q=

Explanation / Answer

we know, dielctric constant of mylar, k = 3.1


A) delta_V = 9.0 V

B) E = delta_V/d

= 9.0/(0.1*10^-3)

= 9.0*10^4 N/c

C) C = A*epsilon/d

= 5^2*10^-6*8.854*10^-12/(0.1*10^-3)

= 2.21*10^-12 F

so, Q = C*delta_V

= 2.21*10^-12*9

= 1.99*10^-11 C

D) delta_V' = 9.0 V

E) E' = 9.0*10^4 N/C

F) Q' = k*Q

= 3.1*1.99*10^-11

= 6.17*10^-11 C

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